# Ex.8.1 Q4 Comparing Quantities - NCERT Maths Class 8

Go back to  'Ex.8.1'

## Question

A football team won $$10$$ matches out of the total number of matches they played. If their win percentage was $$40$$, then how many matches did they play in all?

## Text Solution

What is known?

Total number of matches $$= 10$$

Win percentage $$= 40\%$$

What is unknown?

Total number of matches played.

Reasoning:

Assuming the total number of matches played as $$x,$$ equating $$40\%$$ of $$x$$ is to $$10,$$ the value of $$x$$ can be found.

Steps:

Let the total number of matches played$$=x$$

\begin{align}40\% \;{\rm{ of}}\;x &= 10\\\frac{{40}}{{100}} \times x &= 10\\x &= \frac{{10 \times 100}}{{40}}\\&= 25\end{align}

The total number of matches played by football team is $$25.$$

Learn from the best math teachers and top your exams

• Live one on one classroom and doubt clearing
• Practice worksheets in and after class for conceptual clarity
• Personalized curriculum to keep up with school